Proportions, rates and ratios

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What is a ratio?

Back

A ratio is a comparison of two quantities by division. It shows how many times one value contains or is contained within the other.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you write a ratio?

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Ratios can be written in three ways: as a fraction (e.g., 2/3), with a colon (e.g., 2:3), or with the word 'to' (e.g., 2 to 3).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.

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CCSS.7.RP.A.2A

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How do you solve a proportion?

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CCSS.7.RP.A.2C

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What is a rate?

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A rate is a specific kind of ratio that compares two quantities with different units. For example, speed is a rate that compares distance to time.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If a recipe requires 2 cups of milk for every 3 cups of flour, what is the ratio of milk to flour?

Back

The ratio of milk to flour is 2:3.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If you have 4 apples, 2 bananas, and 5 pears, what is the ratio of pears to all fruit?

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The ratio of pears to all fruit is 5:11.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If you earn $15 every 3 weeks, how much will you earn in 5 weeks?

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You will earn $25 in 5 weeks.

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CCSS.6.RP.A.3B

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What is the first step to find the missing value in a proportion?

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The first step is to set up the proportion correctly and identify the known values.

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CCSS.7.RP.A.3

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How do you find a missing term in a ratio?

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To find a missing term in a ratio, you can set up a proportion and solve for the unknown value.